Deformation of the Dirac equation-Reference-Cited by-同舟云学术

Deformation of the Dirac equation

Published:2016-01 Issue:01 Volume:25 Page:1650013
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

Faizal Mir¹,Kruglov Sergey I.²

Affiliation:

1. Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1, Canada

2. Department of Chemical and Physical Sciences, University of Toronto, 3359 Mississauga Rd. North, Mississauga, Ontario, Canada L5L 1C6, Canada

Abstract

In this paper, we will first clarify the physical meaning of having a minimum measurable time. Then we will combine the deformation of the Dirac equation due to the existence of minimum measurable length and time scales with its deformation due to the doubly special relativity. We will also analyze this deformed Dirac equation in curved spacetime, and observe that this deformation of the Dirac equation also leads to a nontrivial modification of general relativity. Finally, we will analyze the stochastic quantization of this deformed Dirac equation on curved spacetime.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271816500139

Reference86 articles.

1. Can spacetime be probed below the string size?

2. Hilbert space representation of the minimal length uncertainty relation

3. Exact solution of the harmonic oscillator in arbitrary dimensions with minimal length uncertainty relations

4. Effect of the minimal length uncertainty relation on the density of states and the cosmological constant problem

5. Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation

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